What is 8/10 of 68?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/10 of 68? We'll show you a straightforward method to achieve that.

How to calculate 8/10 of 68?

  1. Multiply the whole number by the numerator of the fraction: 68 × 8 = 544
  2. Divide this result by denominator of the fraction: 544/10 = 54.4
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 544/2 = 272
    • 10/2 = 5
  4. Which gives: 272/5

Since 272/5 is an improper fraction, the result could also be expressed as a mixed number: 54 2/5

How does it work?

The principle behind finding a fraction of a number, such as 8/10 of 68, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 10 = x 68 (where x represents 8/10 of 68)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 68 = 10 x
  2. Which gives: 544 = 10 x
  3. Divide both sides by 10 to isolate x: 544 10 = 10 x 10
  4. Which gives the result: 544 10 = x (or 272 5 = x )

Thus, 8/10 of 68 is equal to 272/5 (or 54.4 in its decimal form).